(Solved): A new lake was populated with a small number of trout. The number of trout in the lake can be model ...

A new lake was populated with a small number of trout. The number of trout in the lake can be modeled by the function: $P(t)=\frac{880}{1+87e^{-0.1t}}$, where $t$ is the number of months since the population of trout were first introduced. Round all answers to the nearest whole number What is $P(0)?$ $0^s$ What does this tell us about the trout population? This is the intial population of trout. The lake was originally stocked with 10 trout. How many trout were in the lake after 1 year? How many trout were in the lake after 6 years? Determine ${\lim }_{t\to \infty }P(t)={\sigma }^s$ What does this tell us about the trout population? This is the carrying capacity of the lake. As time goes on, the population of trout can reach no higher than 880 due to limited resources, etc. $✓$ $0^s$